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"title": "Find Array Given Subset Sums",
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"content": "<p>You are given an integer <code>n</code> representing the length of an unknown array that you are trying to recover. You are also given an array <code>sums</code> containing the values of all <code>2<sup>n</sup></code> <strong>subset sums</strong> of the unknown array (in no particular order).</p>\n\n<p>Return <em>the array </em><code>ans</code><em> of length </em><code>n</code><em> representing the unknown array. If <strong>multiple</strong> answers exist, return <strong>any</strong> of them</em>.</p>\n\n<p>An array <code>sub</code> is a <strong>subset</strong> of an array <code>arr</code> if <code>sub</code> can be obtained from <code>arr</code> by deleting some (possibly zero or all) elements of <code>arr</code>. The sum of the elements in <code>sub</code> is one possible <strong>subset sum</strong> of <code>arr</code>. The sum of an empty array is considered to be <code>0</code>.</p>\n\n<p><strong>Note:</strong> Test cases are generated such that there will <strong>always</strong> be at least one correct answer.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, sums = [-3,-2,-1,0,0,1,2,3]\n<strong>Output:</strong> [1,2,-3]\n<strong>Explanation: </strong>[1,2,-3] is able to achieve the given subset sums:\n- []: sum is 0\n- [1]: sum is 1\n- [2]: sum is 2\n- [1,2]: sum is 3\n- [-3]: sum is -3\n- [1,-3]: sum is -2\n- [2,-3]: sum is -1\n- [1,2,-3]: sum is 0\nNote that any permutation of [1,2,-3] and also any permutation of [-1,-2,3] will also be accepted.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, sums = [0,0,0,0]\n<strong>Output:</strong> [0,0]\n<strong>Explanation:</strong> The only correct answer is [0,0].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]\n<strong>Output:</strong> [0,-1,4,5]\n<strong>Explanation:</strong> [0,-1,4,5] is able to achieve the given subset sums.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 15</code></li>\n\t<li><code>sums.length == 2<sup>n</sup></code></li>\n\t<li><code>-10<sup>4</sup> <= sums[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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"exampleTestcases": "3\n[-3,-2,-1,0,0,1,2,3]\n2\n[0,0,0,0]\n4\n[0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]",
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"code": "class Solution {\npublic:\n vector<int> recoverArray(int n, vector<int>& sums) {\n \n }\n};",
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"code": "class Solution(object):\n def recoverArray(self, n, sums):\n \"\"\"\n :type n: int\n :type sums: List[int]\n :rtype: List[int]\n \"\"\"\n ",
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"code": "impl Solution {\n pub fn recover_array(n: i32, sums: Vec<i32>) -> Vec<i32> {\n \n }\n}",
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"code": "(define/contract (recover-array n sums)\n (-> exact-integer? (listof exact-integer?) (listof exact-integer?))\n\n )",
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